If One Of The Lines Given By The Equation  coincide With One Of Those Given By  and The Other Lines Represented By Them Be Perpendicular, Then   

If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point

The angle between the straight lines joining the origin to the points of intersection of  and 3x – 2y = 1 is

All chords of the curve  which subtend a right angle at the origin always pass through the point

If the pair of lines represented by   intersect on y-axis, then  

If the chord y = mx + 1 of the circle x² + y² = 1 subtends an angle of 45^oat the major segment of the circle, then m =

The straight lines represented by

The equation  of the image of the pair of rays  in the line mirror x= 1 is

Two lines represented by the equation  are rotated about the point (1, 0), the line making the bigger angle with the positive direction of the x-axis being turned by 45^o in the clockwise sense and the other line being turned by 15^o in the anticlockwise sense. The combined equation of the pair of lines kin their new position is    

The value of λ for which the lines joining the point of intersection of curves C₁ and C₂ to the origin are equally inclined to the axis of X.  

If the pair of lines  have exactly one line in common, then a =